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13303161135 = 3251126875073
BaseRepresentation
bin11000110001110111…
…00010000100101111
31021100010020121100200
430120323202010233
5204221102124020
610040020524543
7650444001225
oct143073420457
937303217320
1013303161135
115707318950
1226b3250753
1313401385a4
14902b22b15
1552cd87590
hex318ee212f

13303161135 has 24 divisors (see below), whose sum is σ = 25155069264. Its totient is φ = 6450017280.

The previous prime is 13303161133. The next prime is 13303161139. The reversal of 13303161135 is 53116130331.

13303161135 is a `hidden beast` number, since 1 + 330 + 316 + 1 + 13 + 5 = 666.

13303161135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13303161135 - 21 = 13303161133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13303161099 and 13303161108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303161133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13437042 + ... + 13438031.

It is an arithmetic number, because the mean of its divisors is an integer number (1048127886).

Almost surely, 213303161135 is an apocalyptic number.

13303161135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13303161135 is a deficient number, since it is larger than the sum of its proper divisors (11851908129).

13303161135 is a wasteful number, since it uses less digits than its factorization.

13303161135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26875095 (or 26875092 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

Adding to 13303161135 its reverse (53116130331), we get a palindrome (66419291466).

The spelling of 13303161135 in words is "thirteen billion, three hundred three million, one hundred sixty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 26875073 80625219 134375365 241875657 295625803 403126095 886877409 1209378285 1478129015 2660632227 4434387045 13303161135